Pith Number

pith:7X7ZI4TP

pith:2002:7X7ZI4TP3EEFSJTOYKLJ463X5S

not attested not anchored not stored refs pending

Quadratic functions in geometry, topology,and M-theory

I.M. Singer, M.J. Hopkins

arxiv:math/0211216 v2 · 2002-11-13 · math.AT · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X7ZI4TP3EEFSJTOYKLJ463X5S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries

Symmetry TFTs from String Theory

Receipt and verification

First computed	2026-07-04T14:49:28.948865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdff94726fd90859266ec2969e7b77ecacd7ecd8feceea6bc5e389696781ed3e

Aliases

arxiv: math/0211216 · arxiv_version: math/0211216v2 · doi: 10.48550/arxiv.math/0211216 · pith_short_12: 7X7ZI4TP3EEF · pith_short_16: 7X7ZI4TP3EEFSJTO · pith_short_8: 7X7ZI4TP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7X7ZI4TP3EEFSJTOYKLJ463X5S \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fdff94726fd90859266ec2969e7b77ecacd7ecd8feceea6bc5e389696781ed3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf30a5160c313cc4b1ebf0d363a4ad5e9feaf6b34dc138c7f514e1e9ec4b02ac",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-11-13T23:12:27Z",
    "title_canon_sha256": "337672e084e4878f70886f43504e4c8f2c9698bb1e23be548545b6b7f577420a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211216",
    "kind": "arxiv",
    "version": 2
  }
}